Cotangent bundle reduction and Poincare-Birkhoff normal forms

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dc.authorscopusid23481439700
dc.authorscopusid57203397243
dc.authorscopusid6701581448
dc.contributor.authorÇiftçi, Ünver
dc.contributor.authorWaalkens, Holger
dc.contributor.authorBroer, Henk W.
dc.date.accessioned2022-05-11T14:31:14Z
dc.date.available2022-05-11T14:31:14Z
dc.date.issued2014
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this paper we study a systematic and natural construction of canonical coordinates for the reduced space of a cotangent bundle with a free Lie group action. The canonical coordinates enable us to compute Poincare-Birkhoff normal forms of relative equilibria using standard algorithms. The case of simple mechanical systems with symmetries is studied in detail. As examples we compute Poincare-Birkhoff normal forms for a Lagrangian equilateral triangle configuration of a three-body system with a Morse-type potential and the stretched-out configuration of a double spherical pendulum. (C) 2013 Elsevier B.V. All rights reserved.
dc.identifier.doi10.1016/j.physd.2013.10.007
dc.identifier.endpage13
dc.identifier.issn0167-2789
dc.identifier.issn1872-8022
dc.identifier.scopus2-s2.0-84896506248
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://doi.org/10.1016/j.physd.2013.10.007
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7377
dc.identifier.volume268
dc.identifier.wosWOS:000329957700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorÇiftçi, Ünver
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofPhysica D-Nonlinear Phenomena
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectSymplectic reduction
dc.subjectHamiltonian systems
dc.subjectRelative equilibria
dc.subjectRelative Equilibria
dc.subjectPhase-Space
dc.subjectInternal Motions
dc.subjectSystems
dc.subjectStability
dc.subjectSymmetry
dc.subjectOrbits
dc.subjectEnergy
dc.titleCotangent bundle reduction and Poincare-Birkhoff normal forms
dc.typeArticle

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